Mehler-Dirichlet Integral
![画像: P_n(cosalpha)=(sqrt(2))/piint_0^alpha(cos[(n+1/2)phi])/(sqrt(cosphi-cosalpha))dphi,](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/Mehler-DirichletIntegral/NumberedEquation1.svg){kind=link}
where P_n(x) is a Legendre polynomial.
See also
Laplace's Integral, Laplace-Mehler Integral, Legendre PolynomialExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Mehler-Dirichlet Integral." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Mehler-DirichletIntegral.html